{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualizations using $matplotlib$\n",
    "\n",
    "This notebook showcases visualizations using matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# import required libraries\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "params = {'legend.fontsize': 'x-large',\n",
    "          'figure.figsize': (15, 5),\n",
    "         'axes.labelsize': 'x-large',\n",
    "         'axes.titlesize':'x-large',\n",
    "         'xtick.labelsize':'x-large',\n",
    "         'ytick.labelsize':'x-large'}\n",
    "\n",
    "plt.rcParams.update(params)\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sample Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PWMr4Eabn5ukYnLCFwinzZeHLTk+pZ7+1P4iIPRROY4WPcQcMdrXCiSONCzXV\n7D+1jRdNPWOWm9NMtleGw0MD9g8PjQenB8aZDylLqkRHI2KUyk8lH2arP0h1YQ45mdYPtswoRbvf\nf61w4shCTbUUGeWNTs7SNTJpH4WzEDhg7y9dvDCzy+0wwwHThzlutRhJo7U/aAv/DbCQh3XK5qHR\nWuHEGaPETWq88E5aXGEgmvPN2FLDj9PSFyTNI9SW5VktCmAonIHgNCMTM1aLknDmQ4p2f5B6G5jT\nAPKzM9hQkG1764pWOHGmodxHS4pEqtklQs2kMDeTqoJsTqbIDKe5L0BNSS5Z6dabdOB8LlAq+HG6\nhieZngvZZoYDRj6O3WuqaYUTZxoqvEzMzNM9am/nXTxo9QfJz06nIt+6LOtotocDB1KBln5rmq4t\nRX0KhUa3+a2t0L0Y2yp8tPqDzM2HrBZlSbTCiTPmCyAVMt5b+4PUlXstLWkTzfaqfNr8QWbm7Pul\niwdTs/N0Do5bWkMtmurCHLIzPCmhcMy/0U4Kp6HCx8xciM6hCatFWRKtcOJMKrWbbvOP2yIkNJLt\nlT5m59XCCNSttPYHCanzdbTsgMcj1JV5UyJoprU/SKk3k8LcTKtFWeB8TTX7vnu0wokzhbmZlKVA\nTbXRSSP82E4jPDC6f4L7Q9PNAU2jDUKiI6lPkSKerf6g7QZb9eVeROxdU00rnATQmAKRau1++2RZ\nR7KlJBePGLMvN9PcFyQjTagptUeEmkl9mZeukUkmZuasFiVhKKVsFRJtkpOZxpbiXFsPtrTCSQBm\npJqbM97NF3qdTUJyTbIz0thUnOt6k1pLn1HhISPNXl9hMwm1zcX5OAPBGUYnZ22ncCBcU02b1FIL\nM1LN7mUm1kNrvzHC3lSca7UoL6KuzEuby806p2xSQy2ahUg1v31feuvFTjXUotlW6aNjcMK2faG0\nwkkAC83YXPzSa/MH2VJivxE2GLMus+yLG5mYmePs0KQtFc6WkjzSPeJqP06rDUOiTRorfOGkVHvO\nMO33tnABC+2mbWxLXS9tNsqyjqauzMv0XIhul84wzZe53QIGADLSPNSU5rk6LaCtP0heZhpVBfbr\n+2NWbberH0crnATg9ki12fkQZwYnqCu3l//GpG7BrOPO+7/Q5dOGMxwwAgfceu/BnvlnJjUleWSk\niW0j1bTCSRAN5e7NR+gcnGAupGxpw4bztnW3+nGa+wJkpnnYYkP/GRimps7BCdcm37b223d2n5nu\nobbUa9uG1b7vAAAgAElEQVRcHK1wEkRjhY/WvoArI9XabBoSbVKcl0lRboZrQ6Ob+wLUlXtJt6H/\nDIygmfmQomPQffc/MDVL79jUwizajjRUePUMJ9WoL/cyPjNP9+iU1aLEnYUoHRt/6erKvK4NjW7p\nC9rSf2NiDkTcGDhgDmLsGDBgUl9u5ELZMVJNK5wEYUYQ2dV5tx7a/EEq87PxZqVbLcqS1JV5F5JT\n3URweo6uEXtGqJnUlRkZ725UOHasoRZNXZkXpYwGfXZDK5wEYdZUa3Vh4ECbf9y2AQMmdeV5DARn\nXNebxYx8bLDxCy8nM42NRTmu9GGa+Wd29Z9BhA/ThgMurXASRFFeJqXeLNfNcJRStPfbr45UNOe/\ndPYb5a0Hc4Rt1wg1k/oyd9ZUa+0PUlOSZ1v/GcDWcLkjO+bi2PeuuYDGCi/NLvvS+QPTBKbnHKRw\n3HX/2/zjRoWHohyrRVmW+nLDh+a25Nt2v/1qqEWTk5lGdWGOLZ/9VSscEfljEXl1xOfPiIhfRH4n\nItWJEc/ZNJR7XRep5gQbNsDGohwy0zy2/NKthza//UfYYFTbmJkLcW7Yvr1ZYsXsNWP3Zx+MgB47\nPvuxPLX/F5gHEJFLgL8Bvgyo8E9NFA0VPtdFqtk9JNokPc1DTWmu64pIttuwLP5i1Lmw+2fHoFEu\nyQkKp7Y0j3b/uO0Gu7EonC3AqfDvrwN+oZT6InAz8LJ4C+YGzAfTTdFSbf5x8jLTbNVWeincFqk2\nOx+ic3CCWptV6F6M+oVGhO65/3Yu2hlNXblRQLh3zF6D3VgUzixgvmWuAR4K/z4M5MdRJtdgvhjc\nlPHe5rdvWY9o6sq8dA65J+P9zJC9KzxEUpCTQbkvy1UznNb+ICIOUTgL7x57zfBjUThPAf9PRN4J\nXAXcG16/FeiJt2BuoMybhS873VWRUm0OiFAzqSvPYz6kODPkjvvf5oCE20jc1v2ztT9IdWEOOZlp\nVouyIvU2DZqJReHcDOwCvgr8vVKqI7z+TcDv4yyXKxARV2W8j0/P0T065QgbNkRmvLtD4bSHE/mc\nYFKD8wrHbn6EtWLHLp9LUebLwpuVbjuT8qpTxZVSJ4CLF9n0N4B7+8muk9qyPJ5oHbRajLjQbtMu\nn0tRa9NR3lpp6w9S5ssiPzvDalFWRUO5l+D0HH1j01TasJR/LIRCivaBIFfUlVgtyqowBrt5trOu\nrDu2Uik1rpSajocwbqSuzEvv2BTBaefrZKdEqJl4s9KpzM92j8LxBx2j7MFdkWpGbbKQY2Y4YM96\ngssqHBG5X0QKIn5fckmOuM7DfDnbbWq7Ftr8QdI8wuYS+5b1iKau3H6jvLWglKLNP74wa3MC5yPV\nnF9twyn5Z5HUluXRMzrFuI0GuyvNcLqAUMTvyy2aRagvt2+ZiVhp8wfZXJxLVrr9naYmdWVe2l3g\nRxgan2F0ctYxs0swgmYKcjJcMcNZUDgOuv/ms2KnIp7L+nCUUu9e7HfN6tlcnEeaR2w3tV0LrQ6K\nUDOpK/MSmJ7DH5imPN+5foQ2h/nPwPAjuCVSrbU/SEleJkV5mVaLsmpMk2abP8jO6gKLpTGIpbRN\n5TLbFgsm0GB04NtcnOt4hTM3H6JjwL5tpZdiIVLN4fe/3WH+M5O6sryF6Don0xrOP3MSW0py8Yi9\n8gBjCRo4LCLXR68UkY+gw6KXpa4sz3YJWLFybniSmfmQ8154YQXpdD9Omz9IVrqH6kJ7F+2Mpq7M\niz8wzejkrNWirBmllKNCok2y0tPYVJxrq2c/FoXzDeCXIvJlEUkXkRIR+RVwC/CnCZHOJdSWeTkd\nrsPkVJwWoWZSmZ9NbmaarUZ5a6HNP87W0jw8HvtXeIjEDUEzg2H/mZP8NyZ2i1RbtcJRSn0GeAXw\nFuBp4AhQCuxRSv0kEcKJyKtF5HkRmRaRDhG5eRXHZIjIP4pIj4hMishjInJpIuRbLXVleczMhega\nnrRSjHVhPrRO+9K5Jfm23YEmHYj0I9hnlB0rToxQM6kry+P0gH0Gu7Hm4TwG3AXsBsqAv1VKtcdd\nKkBE9gK/AO4JX+8W4FYRee8Kh34JeA/wF8A+oB14cDkfVKJxQ2+Wtv5xSr1ZFOQ6I+kwkrqyPEdH\nCU7PzXNmaIK6Umf5zwA2FeWQkebsoJmF2b0DFU5tmZfpuRDdI/YY7MYSNLAZQ+HcCLwauA24S0Q+\nKyKJaM5xM/CMUuqTSqkmpdSdwNeATywjYz7wXuCTSqlfKqWOAe8GpsPrLcENCqfVYUmHkdSVeeka\nmWRixj75CLHQOThBSDnzhZee5qGmJM/RJs22/nFyMtKocmCUo93ePTEFDQCjwG6l1L1KqU8Ar8GY\nTTyaANn2c75AqMm9wBYR2bjEMZdiVLReOE4pNQ88gFFw1BKK8jIpys1wrFnBdJo68YUH51/UTp3l\nODVCzcTpJk2jQrrz/GcQUTXaJs9+LArnVqXUq5RS/eYKpdSDGPXVhuMuGVQBvVHreiO2LXVM5H6R\nxy16jIjcJCIHReSg3+9fk6CrwclfOicmHUZit1FerJgvi60ONKmBESnYOTjB7Lwz20S0OaTp3WIU\n52VSmJthm2c/lqCBLy2x3q+UuiF+IiUXpdR3lFJ7lVJ7y8rKEnYdJzcDM194TnSaQkQ+gk1GebHS\n1h+kqiCbvKxV19q1FXVlXuZCijNDzms3PTkzT9fIpGMVjohQW2ofk2bMvhcRqRKRl4jIgcglAbL1\nANGO/oqIbUsdwxLHWdqzp7Ysj4HgDKMTzstHOB8S7cwRdnaGmY9gjy9drLQNjDv2hQcRM0ybvPRi\noX0giFLONWdCeLBrk+TbmCoNiMhvgXPA48Bvo5Z48zhwXdS664FOpdS5JY45hBEgsHBcOKDhFRgB\nD5ax8KUbcN6XrrU/SHaGhw0Fzko6jKSuzOvIF55Sivb+oGN64CxGrc38CLGwUFLIYRU2Iqkrt0/y\nbSwznNuBDGAvMAm8EngH0Ay8Kv6icTtwmYh8TkS2i8ifAB8EvmDuICI3ishJEakGUEqNAd/CCJ++\nQUQuBP4NyAG+nQAZV81CPoIDX3pt/iC1pV5HOk1N7JaPsFr8gWkC03OOHmH7sjOoyM9y5AyzrT+I\nR6CmxLkKp7bULCBs/f2PxSh8DfAGpdRzIhICziqlHhKRCeDTQFxbFCilnhGRNwC3Ah/DcPx/Sin1\nrYjdCoBtGIrQ5K+BGeAOoBBj1vNKpZSlJjUzH8EuU9tYaO0PsmdzkdVirIu6iHyETcXOaa9wvmin\ncxUOODdops0fZFNxLtkZzqmQHk1k8u0lFn+PY5nheDkf/TWCUWUA4HmMcOS4o5S6Wyl1sVIqSym1\nRSl1W9T2O5VSEtHuGqXUrFLq40qpSqVUtlJqv1LqYCLki4X0NA9bHJiPYDpNnRowYLLQDMxhLz3z\nJe1kkxqcN2k6rU2EEyukR7O5OJd0j9hihhOLwmkF6sK/nwDeISJZwB8DA/EWzI0YLV+t/6fHQpvf\ncJo6XuE41HHd5g+Sm5lGpQOTDiOpK8tjbGqOgeCM1aKsmvmQ4vTAuGODZUwy0jxsKbFH0EwsCud7\nwIXh378A/AkwAfw9EX4VzdLUlXk5M+SsfISFGmoOVzjFC8m31n/pYqHdP05tmTOTDiOJ7M3iFLpH\nJpmec16F9MWoLfPaImgjljycryqlvhb+/XfAduDNwCVKqW8mRjx3UVvmZXZecdZB+Qit/UZb6S0O\naiu9FA3lPsc1AzMDNpyOE5NvWx1cQy2aujIvnYPjzFk82F1zDTSl1Fml1H8rpY7GUyA3Y7cyE6uh\ntd95baWXoq7cS4uD/AhOTzqM5HybCOc8+20ObCu9FHVlecZg1+KK9WtSOCIyJiK18RbG7dQ6cZTn\nAqepSX25l5GJWQbHneFHOD0wbiQdOjgHxMTjEWod5sNs8wcNU6yD2kovRa1NfJhrneE426BsEQU5\nGZR6s2wRLbIa5uZDdAyOO95/Y9JgRqo5xKzWHk4SdoNJDZwXGt3W7/yAAZPz1hVnKhzNGjEi1Zxh\nVugcmmB2XrlG4Zh/R4tDFE5b/zgizi3aGY3ZJmJyZt5qUVaFk4t2RlOYm0mpN9PyiulrVTiPYlQb\n0MRIXblzRnlO7nS4GFUF2eQ5qN10mz9IdWEOOZnO95+BoXCUMkyFdmd4fIbB8RnXKBwwI9UcMsMR\nkVMi8jERKVVKvdrqzH2nUldm+BGGHOBHMBWOW8wKIkJ9uddRJrVaF73wTF+U1S+91eCWdIBI7JAH\nGMsM50fA+4FzIvIzEbk2QTK5mlqb2FJXQ1t/kMr8bHzZzmsrvRRGpFrAajFWJBRSrvIhgFGPTMQh\nz77Dm94tRl2Zl+GJWQaD05bJEEsezmeAWuD14eN+LSJtIvIJEalY/miNSb1NokVWQ6s/6KoRHhi5\nOH1j04xNWV85dzl6x6aYnJ131QsvOyONTUW5jvBhtvnHyUz3UF3k3Arp0djBhxmTD0cZ3KeUejOw\nEaMS898BZ0Tkv0RkfyKEdBMbCnPISvfYfpSnlKKt330Kp94hVbvbXVK0M5q6MmfUE2zrD1Jbmkea\nwys8RNJY4QMcpHBMRGQb8DfAR4Ag8A1gDnhIRD4TP/HcR5pH2FqaZ3m0yEr0jk0xPjPviizrSOww\nylsNTm96txS1ZV7aB4KEbN4mwk0RaiZVBdl4s9Jp6bPOpBxL0EC2iLxDRB7BKN55GYbC2aiUulkp\n9VbgdcCHEyOqe3BCPkKri7KsI9lUlENmusf2o+yW/gC+7HTKfFlWixJX6sq8TM2G6B61b5Dr1Ow8\nZ4YmXDfYMoNmWvqcMcPpAf4JeA7YpZQ6oJT6kVIq0gP1FDAUTwHdSF1ZHmeGJpies28+gttCok3S\n0zzUlubZPlKtuS9IY4UPEfeYdMAZ5Z06BycIKffNLsFIfrYyaCYWhfMRoFop9WGl1InFdlBKjSil\ntsZHNPdSV+4lpODMoH2LeLb2B8OVEZxf1iMas6aaXVFK0dIXoLHCXcoenNH51o0RaiaNFT4GgjOW\npWXEEqX2faXUVCKFSRXMUiV2HmW3hgMG3DbCBmOUd3Z4gqlZe84wB4IzDE/M0lDus1qUuFOSl0lB\njr3bRJjK0OlN7xajPjyIscqPo0vbWEBduZGP0GyhLXUl2vxB1/lvTOrLjYx3uwZuNIdfBtsq3adw\nRMQWCYjLYVZ4yM1Mt1qUuGNGqjVbNNjVCscCcjPT2Vycu/BisRsjEzMMBGdc578xOR+pZs/7bz4X\nDS40qYEZNGNPZQ9G/pkbZzcAG8LlnVr1DCe1aKzwccqmCmehpI0LyuIvxtbSPDxiXz9Cc1+QwtwM\nyrzuilAzqSv34g9MMzppv+Rbs8KDWwdbIkJ9hc8y64pWOBaxrcLH6YFxW0aqnQ+Jdp9JByArPY0t\nJXm2DRxo6QvQWO6+CDUT0xlvxzYdbqzwEE2jhUEzWuFYRGOlj/mQsqUfobU/SJbLynpEU1dmzyKe\nSilO9QVca04De4dGuzlCzaShwstAcJphCyLVtMKxiG2m886GZjXDhu11VVmPaBoqvHQMjjNrcY/3\naPrGpglMzbkyYMBkU3EuGWliy8CBNpebkwEaLHz3aIVjEVtL80j3CKd6bahwXFhDLZr6Mi+z84pO\nm+VCLQQMuDAk2iQjzcOWEnvWVGv1B40KDy71n4G1NdW0wrGIzHQPtWV5tpvhTM7M0zUy6dqQaJN6\nm7abNp8HNyZ9RlJXlkerLWc4467NPzMxI9WsyMXRCsdC7Bip1uYPopT7StpEs5DxbrOXXnNfgJK8\nTEpcPMIG49nvGBi3XfKtG4t2RmNGqukZToqxrcLH2aFJJmbmrBZlATd2OlwMb1Y6GwqyLa2cuxhm\nDTW3s70yn5Cy1wxzbGqW/sC06xUOGNU2rAiN1grHQhrDjmErq7dG09ofxCNQU5prtSgJp67cayuz\njlKK1v6g681pANurjGe/qWfMYknOsxAw4NKkz0gaLYpU0wrHQsxINTuZ1Vr7g2wpySMrPc1qURJO\nQ7mPtv5x2/Rm6R6dIjg9txBF5GZqSvLISvdw0kZBMy0urZC+GA0WBQ5ohWMhm4pzyc7w0GyjL10q\n2LBN6su9TM4aQRJ24HzAgPsVTppH2Fbp42SvfWY4TT1jZGcYEXRupyGsVJMdtKQVjoWkeYSGcvsE\nDszNhzg94N6yHtGYyZV2MauZA49UMKkBbK/00dQTQCl7zDCbesbYVpnv6vwzk+rCHKOmmp7hpBYN\nFV7bhEafGZpgdl6ljMIxQ79bbeJDa+4LUu7LojDXfT2IFmN7ZT5D4zP4g9Mr75xglFI09QS4oMr9\ns0s43/1Tz3BSjG0VPvrGphmZsKYhUiRu7fK5FEV5mZTkZdomUqqlP5AS5jQTM3DgZI/1A66e0SlG\nJ2e5oCrfalGSRoMFodFa4ViMGalmh944rf7UidIxqbdJpFoopGjpC7q6hlo0OyqNl7sd/Dgnug0Z\ndqSSwglX7U7mYFcrHIuxU6Raa3+QyvxsfNkZVouSNOrLvbT0We9HODc8yeTsfErNcIryMqnMz7bF\nDMcMz96eQgrHihI3WuFYTFVBNr6sdFtEqrX1B11dtHAx6su9jE3NWe5HSKUItUi2V/lossGz39Q7\nxubiXLxZ7uvyuRTmbDqZfhytcCxGRGistD5SbT6kaOkPurpo5GKYf6/Vfpzmfnd3+VyK7ZX5tPYH\nLK/a3dQTYEeKBAyYbCjIITczLamJ51rh2IDGCh/NFpt1Tg+MMzEzz87qAstksAK7FPFs6QtSVZBN\nfgqZMwF2VPmYnbe2L9TEzBwdg+Mp5b8B8HiEhnJvUluta4VjA7ZVeBmZmMUfsM6sc6xrFICd1an1\npavIz8KblW65wjnVG0iJCgPRbLdB4MDJ3gBKpVbAgEl9eXLbTdta4YjIq0XkeRGZFpEOEbl5Fcd0\niIiKWh5LhrxrxYxUs9KsdqxrlKx0j+vbEkRj5iNY2ZdoPqRo8wfZlmLmNIDasjwy0oQTFtZUMwMG\nUikk2qSxIrmRarZVOCKyF/gFcA+wG7gFuFVE3ruKw78IVEUsr0uQmHFhIVLNwpfese5RdlTlk55m\n20ciYeyszud495hlNdXODE0wPRdKyRlORpqH+nKfpZFqTT1j+LLS2ejilupLkexINTu/XW4GnlFK\nfVIp1aSUuhP4GvCJVRwbVEr1RixDCZV0nZR4syj1ZlpWcSAUUhzvGks5c5rJRdWFBKcNO74VpGqE\nmskOi2uqGQED+a5uurYUpg8zWYEDdlY4+4F7o9bdC2wRkY0rHPsBERkUkeMi8lURKUmMiPHDaMZm\njR/h7PAEgek5dm5IrYABEzNQ4mjYj5VszJD4hhSp8BDN9iqj2sZQkkvlgzHYOtkzlnIRaibVhUak\nWrIGu3ZWOFVAb9S63ohtS/E14O3ANRhmuOuAJ0Rk0fmyiNwkIgdF5KDf71+XwOuhscJHS1/AErPO\nsS5jdJlqEWomDRVestI9HD1nkcLpD7KxKIe8FMoBicTKwIEzQxOMz8ynZMAAGJFq9UmMVEuqwhGR\nWxZx6Ecvt6znGkqpryilHlRKHVVK/Rx4FdAA3LjE/t9RSu1VSu0tKytbz6XXxbZKHxMz1pTKP9Y9\nSkaapFwOiElGmocdVfkcsWiG09KXWjXUorGyppoZMJCqCgeMXDS3mtS+DuxYYfl6eN8eoDLq+IqI\nbatCKdUO9AM1axU6GTRaGDhwrGuUxgpfSjRdW4qLNhZwvGs06TPM2fkQ7f7xlFX2AGXeLEryMi2Z\n4TT1jOERY8CXqjRWeOkPTDM6MZvwayVV4SilBpRSJ1dYBsK7P45hDovkeqBTKXVutdcM+3vKgbPx\n+SsSg9kDJdmh0UopjnePpaz/xmRXdQHjM/O0DyQ3cKBzcJyZ+RCNKVbhIRIRYXuVz5Lunyd6Amwt\nzSM7I3UHW+ZgJxlmNTv7cG4HLhORz4nIdhH5E+CDwBfMHUTkRhE5KSLV4c9XiMjHRGSPiGwRkeuA\nu4BO4H+s+CNWiy87g+rCnKRHqvWMTjE0PpOyEWomuzaagQMjSb2umXSXyiNsMPw4p3oDzCd5htnU\nM5bS5jSAC6oKeNOejeRmJt6HaFuFo5R6BngDcANwGPgM8Cml1LcidisAtgFmPZBp4I3Ag0Az8C/A\n74ErlFLW16BfgcaK5CcgmhUGLkzRgAGT+jIv2Rkejp5LrlmnuS+ACCnT1nsptlf6mJ4LJTU0fXRy\nlq6RyZRXOJUF2XzlLRdzwYbE3wdbh8Uope4G7l5m+53AnRGfnwWuTLhgCaKx0sfjrYPMzofISFIC\n5rFuw4Zt9iZJVdLTPFxQlZ/0GU5LX5DNxbnkZKauSQfOO+1P9gSSpnxPpnCFAauw7QwnFdlW4WNm\nPkRnEkd5x7tGqS/3pvwLD+CijYUc7x5Lqlnn+bMjXJiEkaXdqS/34pHkhkbrCLXkoxWOjTgfqZY8\n69+x7tGUDxgw2VldwMTMPO1J6gDaOzpF18gkl24pTsr17Ex2Rhq1ZV6akhga3dQToDgvk4r8rKRd\nM9XRCsdGmKO8U0ka5fUHpugbm055/43JRRuTW3Hg2TPDAFy6pSgp17M725Nc4qap16gwkIolbaxC\nKxwbkZ2RRmOFj+fOJsePcDzcx32XVjiA4bjPyUjjSJIqDhzqHCYr3aN9CGF2VOVzbniSsanE54PM\nzYc42RtIed9lstEKx2bsqynm2c5h5pLQAfF4eCSfjOgUJ5DmES7ckJ+0Gc6hzmEu3lhIZrr+GgIL\n9cyS0W799MA4M3Mh7b9JMvpJtxl7a4oYn5lPii37WNcYtaV5KdXHfSV2bSzgRPdYwhX+1Ow8x7tH\n2aPNaQuYNdWaktAb54QOGLAErXBsxmVbDQfyMx2J76hwrHtU+2+i2FVdwOTsPG0Jbnl8tGuU2Xml\n/TcRGC2202lKwgynqSdARposlOfXJAetcGxGVUEO1YU5HOxMrMIZHp/h3PAkO7U57QUkK3DgUKcR\nMLBnc2FCr+MkjBI3+Qv5MYmkqWeMujKvNmcmGX23bchlW4t5+vQwSiUuH8QMGEjVlgRLsbXUS25m\nGkfPJTZw41DnMFtL8yjx6pDcSHZU+jjVm/g2HU09YzpYwwK0wrEhe2uKGAhO0zk4kbBrHOsOl7TR\nM5wXkOYRdm4oSOgMRynFs53D7NmszWnR7KjKT3gR1cHgNP2Bae2/sQCtcGzIvprE+3GOdY2ysSiH\nwtzMhF3DqezaWMDxBAYOdA5OMDg+o/03i/CSWqM575NtAyvsuXbMgBwdnZl8tMKxIfVlXgpzMxKq\ncHRLgqXZVV3A9FyIlv7EVBww/Tda4byYLSW5VBfm8HjrYMKuoUvaWIdWODbE4xH2biniYMdwQs4f\nmJrl9MB4yrckWIpdCQ4cOHRmGF9WOg06QupFiAhX1pXwRNtAwmraPd0xxMaiHIrz9Ow+2WiFY1P2\n1RTTPjDOQHA67uc+EQ4Y0CHRi7O1xMhNOpqgigPPdg6ze3MhHo8uqbIY++tLGZua43h3/O//7HyI\nJ9sGeWmDde3kUxmtcGzK3rAf52ACzGrHzAg1bVJbFE8CKw6MTc1yqi+gzWnLcGW94cdJhFnt2c5h\ngtNzXN1YGvdza1ZGKxybsqu6gKx0D88kwKx2vGuUivwsynw6JHcpdlUXcKJnjNk4Bw48f2YEpbT/\nZjnKfdk0Vnh5IgGBA4+0+EnzCFfWa4VjBVrh2JTMdA+7NxUmJHBAtyRYmV0bC5iZC9HSF9/AgUOd\nw4jA7k064XM5rqwr5enTQ0zNzsf1vI+2DHDJpkLyszNW3lkTd7TCsTH7aoo53j3G+PRc3M45MTNH\na39QJ3yuwEUbDYUQ7w6gz54ZZluFD59+4S3LVfWlTM+FFlo4xIOh8RmOdo1yoFH7b6xCKxwbs7em\niPmQ4vk4tit4rGWAkDqf66NZnC3Fufiy0uPaqmA+pHj+zIg2p62Cy2uLSfMIT8TRj/Noix+l0ArH\nQrTCsTGXbinCI/D06fiZ1e473kdBTgaX12qFsxwej7CzuoBjcQwcaOkPEJie0wpnFfiyM7hoYwGP\ntcbPj/NI8wCFuRm6/5OFaIVjY3zZGWyvzI9bIc/Z+RAPNvVx7Y5yMtL0v34lLtlcyPHuMUYmZuJy\nPp3wGRv760o5cm4kLg3ZlFI82uLnqvpS0nQ4umXot47NuWxrMc+dGYlLtNRT7UOMTs5y/YWVcZDM\n/Vy/s5K5kOK+471xOd+hzmFKvZlsLs6Ny/nczv76UkLKeG7Xy8neAP2BaW1OsxitcGzO3poiJmbm\nF5I118O9x3vIyUjTX7pVsqu6gC0ludx1uCcu5zMLdoroEfZq2LOlkOwMD4/Hwaz2SLMfgAM64dNS\ntMKxOfEq5BkKKe4/3sc128rIzkiLh2iuR0S44aIqnmgbWHfFh4HgNB2DE9qcFgNZ6WnsqymOj8Jp\n8bOtwkdlQXYcJNOsFa1wbE5Ffjabi3PXXVftubMj9AemuX6nNqfFwmsv3kBIwT1H1zfLeVb7b9bE\n/vpSWvqD9I9NrfkcEzNzPHN6mAO6uoDlaIXjAPbWFPFMx9C6GrLdd7yXjDThZdvL4yiZ+9lW4aOh\n3MtdR9ancA6dGSYjTXT+U4zsrzOUxBNtaw+Pfqp9iJn5kDYl2wCtcBzAvppiBsdnOL3GplRKKe49\n1suVdaU6wzpGDLPaBp7pGKJndHLN53m2c5id1QXanBkjF2zIpyAnY11mtYeb/WSle3TumQ3QCscB\n7Fso5Lk2s9rJ3gBnhia0OW2N3HBxFUrB3Wuc5fSOTvHcmREu31oSZ8ncT5pHuKK2hMdbB9Y8w3+0\nxc/ltSVa2dsArXAcQF1ZHsV5mTy9xsCBe4/1IgKvvKAizpKlBnVlXi7ckM+v1qhwvvf4aUJK8ceX\nb46zZKnB/oZSuken6FhDy/WukUna/OMcaND+GzugFY4DEBEONJRy77HeNSUh3ne8l301xZR6dXXo\ntcIdLeMAAAxMSURBVHLDRRt4/uwIZ4die+kFpmb58VNnePWuKjbp/Js1sb/ObFcQu1nNDIe+Wvtv\nbIFWOA7hfdfUMz4zx3cfbY/puI6BcU72BrhOJ3uuixsuqgKIeZbzk6fPEJie4y8O1CVCrJRga2ke\nVQXZa1Y4VQXZ1OvuqrZAKxyHsK3Sxw0XbeB7j3cwGENOiJklf92F2py2HjYV57J7UyF3He5e9TEz\ncyH+7bEOrqgtWWhbrYkdEWF/fSlPtg8SiqHt9Nx8iMdaBzjQUKaTbW2CVjgO4sPXNjA1O893Hln9\nLOfe473sqi5gY5E256yX1168gRM9Y7T5V9cj567D3fSOTXHT1bUJlsz97K8vYWRiliMxFFM9fG6E\nwNScDoe2EVrhOIj6ci9v2F3N95/soD+wciKcGR2lZzfx4TW7qhCBX62i1I1Siu8+2s62Ch/X6Bfe\nurm6sZz87HQ+c9dx5lZZV/Dh5gE8YvTW0dgDrXAcxoeubWB2XvGt3608y7n/hGFO0+HQ8aGyIJt9\nNcXcdaR7xRDdh5v9nOwN8Gcv3arNOXGgOC+Tf7hxF8+eGeFffte24v7+wDQ/P3iWSzYXUZCrc8/s\nglY4DqOmNI837anmh0910rdCuY/7jvdSV5ZHfbkvSdK5n9devIHW/iCn+gLL7vedR9qpyM/i9bur\nkySZ+3ndxRt4w+4N/PNvWpZtSjg1O89NPzjIyMQsf/+6C5MooWYltMJxIB98eQOhkOIbv21dcp/h\n8Rl+3z6kZzdx5lU7K0nzyLLBA8e6RnmibZB3799KZrr+isWTv3/9Tip8WXzkp88t2npdKcXH//MI\nz50Z4fa37talhGyG/jY4kE3Fubx57yZ++vRZukZeXG7lmY4h3vztJwkpxWt2bbBAQvdS6s3iyroS\nfnWkZ0lfwrcfaceblc7bdKJn3CnIyeArb9lN59AE/3B304u2f+2hVn55uJuPX79ND7ZsiG0Vjogc\nEJFfiEiniCgR+fQqj8sQkX8UkR4RmRSRx0Tk0kTLm2w+8PJ6gBfMcsamZvnU/xzlzd96ksmZee58\n92VcsCHfKhFdy5v2bKRzcIL9X3yIr9x/6gXJoGeHJvj10R7+6LJNum5dgriiroSbDtTyk6fP8OCJ\nvoX1vzrSzW0PNPPGPdW872qd92RH0q0WYBm8wAngx8A/xXDcl4B3AO8G2oGPAw+KyA6lVHxaN9qA\n6sIc/vCyTfz4qTO87+o6jneP8Xe/PIY/MM2fXbWVm/+gkdxMO/97ncvrd28gLyudHz/Vydd/28rX\nf9vKgYYy/uiyzTzeOoAA796/1WoxXc3Nr2zk0eYB/ua/jnDvpgN0jUzyV/9xmH01RXz+jbt0oIZN\nkfWUvE8WItIB3KGU+ocV9ssH+oEPKaW+E16XBnQB31JK3bLc8Xv37lUHDx6Mi8zJoHd0igNf+i0F\nORn4A9NcUJXPF960i4s2FlotWsrQNTLJz545y388c5becBDHGy+p5ra37rZYMvfT3Bfghq89xt4t\nRbT0B8nO8PC/f7mfEl3CKemIyCGl1N6V9nPbEPhSIAu411yhlJoXkQeAqyyTKkFUFmTzp/u38r3H\nT/OJV23nPVdtJSPNtlZSV1JdmMPNr2zkQy+v53en/DzY1Mf7X1ZvtVgpQWOFj0++ajt/f9cJfFnp\n/OjPLtfKxua4TeFUhX9Gm856gT2LHSAiNwE3AWze7Dwn78ev28aHrq3X5jOLSU/z8IoLKniFrsid\nVP7kihoCU3O8pLaExgod/m93kjocFpFbwgEAyy23JFMmpdR3lFJ7lVJ7y8qclxHu8YhWNpqUxeMR\nPnRtA5dt1c3VnECy31RfB366wj5rb+0HZs2RSuBMxPqKiG0ajUajsYCkKhyl1ADrUygrcQiYBq4D\nvgsgIh7gFcB3EnhdjUaj0ayAbT3MIuIVkd0ishvIBCrDn+sj9rlRRE6KSDWAUmoM+BZwq4jcICIX\nAv8G5ADftuDP0Gg0Gk0YOxv/9wK/jfj8/vDyMHBNeF0BsA2IzLD7a2AGuAMoxJj1vFIppU1qGo1G\nYyGOyMNJFk7Lw9FoNBo7sNo8HNua1DQajUbjLrTC0Wg0Gk1S0ApHo9FoNElB+3AiEBE/0LnGw0tJ\nbMi329D3Kzb0/YoNfb9iZz33bItSasXMea1w4oSIHFyN00xjoO9XbOj7FRv6fsVOMu6ZNqlpNBqN\nJilohaPRaDSapKAVTvzQpXNiQ9+v2ND3Kzb0/YqdhN8z7cPRaDQaTVLQMxyNRqPRJAWtcDQajUaT\nFLTC0Wg0Gk1S0ApnnYjIARH5hYh0hjuWfnqJ/S4XkSdEZEpEekTk8yKSlmx57cYyXWDrVz7a/YjI\nq0XkeRGZFpEOEbnZapnsin6Wlmc176pEv6e0wlk/XuAE8HGgd7EdRGQT8ABwCrgUeB/wF8DnkiSj\n3ekAqqKW01YKZAdEZC/wC+AeYDdwC0avp/daKZfN6UA/S0ux7LsqGe8pO/fDcQRKqV8DvwYQkS8u\nsdv7gDHgPUqpEHA83DTuH0Xks0qp8eRIa1vmlVKLKusU52bgGaXUJ8Ofm8JNBT+B0WhQ82L0s7QE\nq3hXJfw9pWc4yWE/cH/4n2hyL5ALXGKNSLZio4icCy/3iMiVVgtkE/ZjPCeR3AtsEZGNFsjjBPSz\ntHYS/p7SCic5VPHiKWxvxLZU5mng3cBrgD8CBoFHReSVlkplD/RzExv6WVofCX/etMJZhGWcj5HL\nLVbLaVdiuX9KqV8rpX6ilDqslHpUKfV24FGMVuEazarRz5L90T6cxfk68NMV9omljHcPUBm1riJi\nm9tY7/37PfDG+InjWFLtuUkE+llaPQl/3rTCWQSl1ADx7aXxOPAOEfFE2EevByaA5+J4HVsQh/u3\nBzgbJ3GczOPAdcBnItZdD3Qqpc5ZI5Lj0M/S6kn4e0ornHUiIl7AjPPPBCpFZDcQVEq1htd/E/gA\n8F0RuQ2oAz4LfC3VI9TC9+NXGOGs+cCfA68AXm+hWHbhduAJEfkc8APgcuCDwEctlcqm6GdpeVbx\nrkr8e0oppZd1LMA1gFpk+V3Ufi8BngCmMBxxnwfSrJbf6gX4CXAOmAb6gQeBl1stl10WDAf44fD9\n6QRutlomuy76WVrx/qz4rkr0e0pXi9ZoNBpNUtBRahqNRqNJClrhaDQajSYpaIWj0Wg0mqSgFY5G\no9FokoJWOBqNRqNJClrhaDQajSYpaIWj0bgIEblTRB60Wg6NZjF0Ho5G4yJEpADwKKWGrZZFo4lG\nKxyNRqPRJAVtUtNo4oyIFIvIWRH554h15eEe8bcuc9yHReR5EQmKSK+I/FREqiK2f1xERkSkJmLd\n34qIX0Q2hD+/wKQmIheKyH3h48ZFpElE3hHvv1mjWQ16hqPRJAAROQD8BqM0/q8wOif6gANKqbkl\njvkwcBxowygT/xVgVil1dXi7hM+TD7wUuDJ8jTcope4O73MnsFEp9Yrw5yPAMeAf+P/t3TtoVEEY\nxfH/sRAEQS0k2Cg2WmiRiDY2iliqWAg+wCYIxspoBAthLWIhaKuFKKyFFqJW4qOzULCysFB8gkiE\nlMGUyrGYWV2jiSTZvdX5wWXh7szsneows5f5yvlYGylnYz3o/awj5pbAiegTSecppzvfBIaBQduf\n59F/CHhJCZCJem+AcpjnfWAvcNf2qa4+bf4MnCngpO12L+YUsRjZUovon3HgHXAaGOmEjaRHddts\nWtJ0p7GknXX764ukb8Cz+tW6Thvbk5QyyicoJZTP/ucZLgPXJT2tlVi39Gx2EfOUwInonzXABuBH\n/ew4Bgx2XUhaCzyk1HI5BGwF9tX2S2eMu6OOOQCsmOsBbI/X374DbAZeSLqw0AlFLEYCJ6IPJC0B\nblG2vw4CLUnbAWxP2P7QuWqXbcAyYNT2c9tv+V3et3vc3cAYsIdSybJd/9uZle1Ptq/aPgC0KKuj\niMYlcCL64xywCThq+x5wDbgtaeUs7d9TimGNSVovaT8lHH6RtJpS+fOS7cfAYcrLA6P/GlDScklX\nJO2qYw5RSga/7sH8IuYtgRPRY3Ul0wKGbX+tt8eAKUrw/MX2K8oLBscpgXCGriCpq5g2pepnq/b5\nCIwAF2uYzPQdWAXcAN4AT4BJ4MiiJhixQHlLLSIiGpEVTkRENCKBExERjUjgREREIxI4ERHRiARO\nREQ0IoETERGNSOBEREQjEjgREdGInwaQsVKE+SDxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc4aaf4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sample plot\n",
    "x = np.linspace(-10, 10, 50)\n",
    "y=np.sin(x)\n",
    "\n",
    "plt.plot(x,y)\n",
    "plt.title('Sine Curve using matplotlib')\n",
    "plt.xlabel('x-axis')\n",
    "plt.ylabel('y-axis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The figure object"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vdqqhtpBtlT46hyZs2xdKK5wEMN+MzcUvvXZ/kC0l9hthgzHrMsu+uJGJmTnO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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc819d048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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H41BOWlChBuByCXVluY4PqbV6fORluqksyEq2KS9gvvung/M4U7MBuoYm5hvP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\n7XA0Go1GkxC0w9FoNBpNQtAOR6NxECJyt4jsS7Y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      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc7e24d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure\n",
    "plt.figure(1)\n",
    "plt.plot(x,y)\n",
    "plt.title('Fig1: Sine Curve')\n",
    "plt.xlabel('x-axis')\n",
    "plt.ylabel('y-axis')\n",
    "plt.show()\n",
    "\n",
    "plt.figure(2)\n",
    "y=np.cos(x)\n",
    "plt.plot(x,y)\n",
    "plt.title('Fig2: Cosine Curve')\n",
    "plt.xlabel('x-axis')\n",
    "plt.ylabel('y-axis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Subplots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using add_subplots()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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K+QKZmXoeCtOapQ8Sn09oqQ5kpMQtk+2WkxUX5NFQVpyRnJGeoXBW8gsAQsEi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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc87aa390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fig.add_subplot\n",
    "y = np.sin(x)\n",
    "figure_obj = plt.figure(figsize=(8, 6))\n",
    "ax1 = figure_obj.add_subplot(2,2,1)\n",
    "ax1.plot(x,y)\n",
    "\n",
    "ax2 = figure_obj.add_subplot(2,2,2)\n",
    "ax3 = figure_obj.add_subplot(2,2,3)\n",
    "\n",
    "ax4 = figure_obj.add_subplot(2,2,4)\n",
    "ax4.plot(x+10,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using subplots()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Lu8/U0erFPeoHyteeuu3txSztH6bw5o5m3b02dpyoZkmyZ6+fPt/Atb/rdC1t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\np2cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bca15aba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plt.subplots\n",
    "fig, ax_list = plt.subplots(2,1,sharex=True, figsize=(8, 6))\n",
    "y= np.sin(x)\n",
    "ax_list[0].plot(x,y)\n",
    "\n",
    "y= np.cos(x)\n",
    "ax_list[1].plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using subplot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+IvE5hm04mnNTiEJkfmPMeugc1lpQOw3sNrmYMp+HYq973cvG9vmDynWRMYtm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\nExRN2uDtuUEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc87a4198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plt.subplot (creates figure and axes objects automatically)\n",
    "plt.subplot(2,2,1)\n",
    "y = np.sin(x)    \n",
    "plt.plot(x,y)\n",
    "\n",
    "plt.subplot(2,2,2)\n",
    "y = np.cos(x)\n",
    "plt.plot(x,y)\n",
    "\n",
    "plt.subplot(2,1,2)\n",
    "y = np.tan(x)\n",
    "plt.plot(x,y)  \n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Using subplot2grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Do8AGOc2a6ev8+X6EpQLff6/BC5HvuoSYQQiSq66Czz/XoZuR2rz0kiYrXnWV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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc88649b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# subplot2grid\n",
    "y = np.abs(x)\n",
    "z = x**2\n",
    "\n",
    "plt.subplot2grid((4,3), (0, 0), rowspan=4, colspan=2)\n",
    "plt.plot(x, y,'b',x,z,'r')\n",
    "\n",
    "ax2 = plt.subplot2grid((4,3), (0, 2),rowspan=2)\n",
    "plt.plot(x, y,'b')\n",
    "plt.setp(ax2.get_xticklabels(), visible=False)\n",
    "\n",
    "plt.subplot2grid((4,3), (2, 2), rowspan=2)\n",
    "plt.plot(x, z,'r')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Formatting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y = x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "+ Line Color\n",
    "+ Line Style\n",
    "+ Data Marker\n",
    "+ Line Width\n",
    "+ Alpha Level/Transparency\n",
    "+ Shorthand notation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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P83kcoSgpiEhYVPUSzM0rIL1DMv912QD6dkvlpjGZTBycxuizOhOnXoJWR0lB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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc8479d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# color\n",
    "ax1 = plt.subplot(611)\n",
    "plt.plot(x,y,color='green')\n",
    "ax1.set_title('Line Color')\n",
    "plt.setp(ax1.get_xticklabels(), visible=False)\n",
    "\n",
    "# linestyle\n",
    "# linestyles -> '-','--','-.', ':', 'steps'\n",
    "ax2 = plt.subplot(612,sharex=ax1)\n",
    "plt.plot(x,y,linestyle='--')\n",
    "ax2.set_title('Line Style')\n",
    "plt.setp(ax2.get_xticklabels(), visible=False)\n",
    "\n",
    "# marker\n",
    "# markers -> '+', 'o', '*', 's', ',', '.', etc\n",
    "ax3 = plt.subplot(613,sharex=ax1)\n",
    "plt.plot(x,y,marker='*')\n",
    "ax3.set_title('Point Marker')\n",
    "plt.setp(ax3.get_xticklabels(), visible=False)\n",
    "\n",
    "# line width\n",
    "ax4 = plt.subplot(614,sharex=ax1)\n",
    "line = plt.plot(x,y)\n",
    "line[0].set_linewidth(3.0)\n",
    "ax4.set_title('Line Width')\n",
    "plt.setp(ax4.get_xticklabels(), visible=False)\n",
    "\n",
    "# alpha\n",
    "ax5 = plt.subplot(615,sharex=ax1)\n",
    "alpha = plt.plot(x,y)\n",
    "alpha[0].set_alpha(0.3)\n",
    "ax5.set_title('Line Alpha')\n",
    "plt.setp(ax5.get_xticklabels(), visible=False)\n",
    "\n",
    "# combine linestyle\n",
    "ax6 = plt.subplot(616,sharex=ax1)\n",
    "plt.plot(x,y,'b^')\n",
    "ax6.set_title('Styling Shorthand')\n",
    "\n",
    "fig = plt.gcf()\n",
    "fig.set_figheight(15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Legend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lXs7/st1xbOG0M5CNMWuNMWWMMX7GmHzGmF7GmPB4y2w3xlRwLJPdGNPXGJOi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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc856b2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# legends\n",
    "y = x**2\n",
    "z = x\n",
    "\n",
    "plt.plot(x,y,'g',label='y=x^2')\n",
    "plt.plot(x,z,'b:',label='y=x')\n",
    "plt.legend(loc=\"best\")\n",
    "plt.title('Legend Sample')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Legend with $Latex$ formatting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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y8BEfhtYeyj8X/uHL3V/aHY5S6gFM3zad41eP80GdD7y6U4gmg2TSrHgzKuWt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\n7Jt3bvLJ5FD69bAa8p949m9qdp/NztM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      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc87a46d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# legend with latex formatting\n",
    "plt.plot(x,y,'g',label='$y = x^2$')\n",
    "plt.plot(x,z,'b:',linewidth=3,label='$y = x^2$')\n",
    "plt.legend(loc=\"best\",fontsize='x-large')\n",
    "plt.title('Legend with LaTEX formatting')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Axis Controls"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Secondary y-axis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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L571l77kdimVx6JBZsvHII2aPxoTy5g2e4uLJ9e6yd7kp801EVI9wO5RgshUo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\npZQHmiCVUkopDzRBKqWUUh78PySFd1/tLz1SAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc9ed3c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## axis controls\n",
    "# secondary y-axis\n",
    "fig, ax1 = plt.subplots()\n",
    "ax1.plot(x,y,'g')\n",
    "ax1.set_ylabel(r\"primary y-axis\", color=\"green\")\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "\n",
    "ax2.plot(x,z,'b:',linewidth=3)\n",
    "ax2.set_ylabel(r\"secondary y-axis\", color=\"blue\")\n",
    "\n",
    "plt.title('Secondary Y Axis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Axis ticks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Program Files\\Anaconda3\\lib\\site-packages\\ipykernel\\__main__.py:2: RuntimeWarning: invalid value encountered in log\n",
      "  from ipykernel import kernelapp as app\n",
      "C:\\Program Files\\Anaconda3\\lib\\site-packages\\ipykernel\\__main__.py:3: RuntimeWarning: invalid value encountered in log2\n",
      "  app.launch_new_instance()\n",
      "C:\\Program Files\\Anaconda3\\lib\\site-packages\\ipykernel\\__main__.py:4: RuntimeWarning: invalid value encountered in log10\n"
     ]
    },
    {
     "data": {
      "image/png": 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KAr1qVQ1rT/NWCz8S+Mnt6z+7ll+APl46ZpmWdDiJPlP7kHE0g8V3LqbzFZ3P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\nwFdKKT+hga+UUn7i/wG/9QgG9WDgewAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc8342a20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ticks\n",
    "y = np.log(x)\n",
    "z = np.log2(x)\n",
    "w = np.log10(x)\n",
    "\n",
    "plt.plot(x,y,'r',x,z,'g',x,w,'b')\n",
    "plt.title('Default Axis Ticks') \n",
    "plt.show() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TJtC1q70UUvh148bF6zp1dJigqtw08MtRWmYaQ2YMIeFIAgvHL6R/WP/Sd4yJ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\nwFdKKR+hga+UUj7i/wGjuhEBXhav2wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc9a449b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x,y,'r',x,z,'g',x,w,'b')\n",
    "# values: tight, scaled, equal,auto\n",
    "plt.axis('tight')\n",
    "plt.title('Tight Axis') \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Ib774Bf2n/szudU2xjQ1Jcf67m5k/7BR8gl7q75Uq6UQ9yRtmttA5lxDqfiJx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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc9f32940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# manual\n",
    "plt.plot(x,y,'r',x,z,'g',x,w,'b')\n",
    "plt.axis([0,2,-1,2])\n",
    "plt.title('Manual Axis Range') \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DB3hdiohEEQV+GCqqaFDvXkSCToEfZppbO9hRfZAzNENHRIJMgR9m3qtqoNPB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\n0vs0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc87cfeb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Manual ticks      \n",
    "plt.plot(x, y)\n",
    "ax = plt.gca()\n",
    "ax.xaxis.set_ticks(np.arange(-2, 2, 1))\n",
    "plt.grid(True)\n",
    "plt.title(\"Manual ticks on the x-axis\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ObXLOLQL+CFzY08xmtsDMVpjZioqKihMsO7zaAh08uHgLp+SmccW0XL/LERE5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\nCgYREelEwSAiIp38f3j4LwFfvMYLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc88a8630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# minor ticks\n",
    "plt.plot(x, z)\n",
    "plt.minorticks_on()\n",
    "ax = plt.gca()\n",
    "ax.yaxis.set_ticks(np.arange(0, 5))\n",
    "ax.yaxis.set_ticklabels([\"min\", 2, 4, \"max\"])\n",
    "plt.title(\"Minor ticks on the y-axis\")   \n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UtogkloIiz/Z1jdWpJxFJKAVFnu3QLVBFJOEUFHk2dmc7nXoSkaRSUOTZ2Kkn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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bc87966a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# scaling\n",
    "plt.plot(x, y)\n",
    "ax = plt.gca()\n",
    "# values: log, logit, symlog\n",
    "ax.set_yscale(\"log\")\n",
    "plt.grid(True)\n",
    "plt.title(\"Log Scaled Axis\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Annotations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IunVzOhrnaLLIQkWK2Ml6P/ygk/WUCgRxcfbLXaFCtu5bdl56QJNFFrvzTnjk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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x21bca058eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# annotations\n",
    "y = x**2\n",
    "min_x = 0\n",
    "min_y = min_x**2\n",
    "\n",
    "plt.plot(x, y, \"b-\", min_x, min_y, \"ro\")\n",
    "plt.axis([-10,10,-25,100])\n",
    "\n",
    "plt.text(0, 60, \"Parabola\\n$y = x^2$\", fontsize=15, ha=\"center\")\n",
    "plt.text(min_x, min_y+2, \"Minima\", ha=\"center\")\n",
    "plt.text(min_x, min_y-6, \"(%0.1f, %0.1f)\"%(min_x, min_y), ha='center',color='gray')\n",
    "plt.title(\"Annotated Plot\")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
